Find the distance from the point to the line. (-4,5,-2); x =2+2t, y=4-t, z=1 +3t The distance is (Type an exact answer, using radicals as needed.)

Q: xplain how you define eigenvalues and eigenvector matrices in detail with example

A: explain how you define eigenvalues and eigenvector matrices in detail with example

Q: The position function of an object is given by s(t) = 16t², where s(t) is the height in feet and t…

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Q: Correct your answer as an integer or a simplified fraction. -3x+12=-x+2 in the answer box.

A: -3x+12=-x+2

Q: Copy of Investigation - H... E Classes

A: Common Functions Function Derivative Constant c 0 Line x 1   ax a Square x2 2x Square Root…

Q: Given below are descriptions of two lines. Line 1: Goes through (−12, 50) and (−3, 14) Line 2: Goes…

A:

Q: A can is filling with water at a rate of r(t) = t² cm³/sec. If the can was empty at t = 0, what…

A: We have,  r(t) = t2 Can was empty at t = 0Amount of water t = 4

Q: 2) Students often make these simple derivatives harder than necessary. How would you differentiate…

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Q: 3) Determine the Cartesian equation of the plane that has x-, y-, and z-intercepts at 3, -2, and 1…

A: The intercepts are: x-intercept , a = 3y-intercept , b = -2z-intercept , c = 1 To determine: The…

Q: 2. Find the first derivative of each function: a/y = x³e; b/y = log6 (2x² - 3x + 6); c/ y = e2x cos…

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Q: What is the area between the curves y= integrating with respect to x.). O ! (6) WIN = ² and y=-x² +…

A: y=x2 and y=-x2+2x

Q: Identify u and dv for finding the integral using integration by parts. Do not integrate. Ixe¹ U = dv…

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Q: Determine arc length of the graph of the equation (y-1)3  = x2 where the interval is [9,11].

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Q: Use the Rectangular Approximation Method to approximate the area of f(x)=³ on the interval [0,8 with…

A: Using the Rectangular Approximation Method with 4 rectangles and taking the midpoint of the…

Q: Find the formula for dif eªy = x² + y².

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Q: Find the distance, d, between the point S(9,3,6) and the plane 1x + 1y+7z= The distance, d, is…

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Q: A car drives down a road in such a way that its velocity (in m/s) at time t (seconds) is v(t) =…

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Q: Use the graph of y = f(x) below to graph y = f(-x). 5 -4 -3 -2 4+ 3+ 2+ -1 -2 + -3+ -st

A: By using the graph of y=fx below to graph y=f-x.

Q: If v(t) = -t+2 and d(0) = -3, then d(t) = - + 2t-3. false Otrue

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Q: Find a plane containing the point (5,-2,8) and the line of intersection of the planes 7x+6y-z = 27…

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Q: The Eighth Gate Arriving at the eighth and penultimate gate, you immediately get to work. "Computer,…

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Q: Express the arc length of the curve y = tan (x) for 0 ≤ x ≤ Choose the correct integral. π/6 O 0.5%…

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Q: In(1 + √x) √x s dx

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Q: For the function, evaluate the given expression. y) = \n(x² + y²), find g(0, e) g(x, y) g(0, e): =

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Q: 9. Scy³ dx - x³ dy, C is the circle x² + y² = 4 10 (1 3) v21

A: ∫Cy3dx-x3dy ,C is the circle x2+y2=4

Q: If $17700 is invested at an interest rate of 6 percent per year, find the value of the investment at…

A: The compound interest formula A=P1+r100tA= final amountP=principle valuer=the rate of interestt=time…

Q: Consider the following. f(x) = x29 Find the x-values (if any) at which f is not continuous. Is the…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Use the graph to determine the limit. (If an answer does not exist, enter DNE.) y 4 2 -2 (a) lim…

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Q: What is the area of the region bounded to the right by x = -y²+2 and to the left by x = y²? 5432-…

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Q: Find the general solution of the given differential equation. dy dx +y=e4x y(x) = Give the largest…

A: We have,    dy/dx + y = e4x

Q: A company wishes to produce two types of souvenirs: Type A and Type B. Each Type A souvenir will…

A:

Q: Solve the initial-value problem for x as a function of t. dx (t2-10t+24) dt SAN 1, (t > 6, x(9) = 0)

A: Use the separated the variable

Q: Solve each of the given triangles (i.e. find the lengths of the missing sides). Parta) Part b) 160°…

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Q: Speed of Parametric particle. x=+³²-3+² y = 26²³-3+² -12 +

A: We have  3t2-6t2+6t2-6t-122=375 We have to solve for 't'

Q: Find the slope of the curve ab²e-b²=5a-16 at the point (a,b) = (0,4) da ㅇ1 11 렇 O None of the above

A: ab2eab-b2=5a-16

Q: Use the Limit Comparison Test for 4n² + 2 n(n-1)(n-19) Σ' an bn n=25 to prove convergence or…

A: The given series: ∑n=25∞an=∑n=25∞4n2+2nn-1n-19We need to prove the convergence or divergence using…

Q: 10. Solve and check by integrating factor: {Integrating factor e[2(=)α = } y '+ 2 y = 4

A:

Q: Let f(x, y, z) = 3x6y + 2xy + 4yz7. Find the requested iterated partials. (Use symbolic notation and…

A: f(x,y,z)=3x6y+2xy4+4yz7

Q: A toy ball is thrown into the air from the top of some bleachers which are 5 feet above the round.…

A: Given    h(1) which means after 1 sec height of ball will be 13 feet

Q: Given the ellipse: (x − 3)² 36 Find the center point: List the four vertices: + (y - 4)² 25 = 1

A: Given the ellipse: x-3236+y-4225=1 To find the center point. To list the four vertices.

Q: Use a graphing tool to represent the function and approximate the limit. Write an approximation to…

A: Given :- limx→0(e2x-1)x To find :- Use a graphing tool to represent the function and approximate the…

Q: Determine whether the improper integral diverges or converges. O converges O diverges dx Evaluate…

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Q: Find the vectors T, N, and B at the given point. T = N = B || r(t) = (5 cos(t), 5 sin(t), 5…

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Q: Determine whether each of the following sequences converges? Justify your answer carefully. You may…

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Q: Compute the partial sums S2, S4, and S6 of 1 1 1 1 + + 12² 24² 36² 48² (Use symbolic notation and…

A:

Q: The table below shows the high temperatures for each month of 2021 in Atlanta where month 1 is…

A: Given : MonthTemperature153257365473580686788887982107211631255To find : The table shows the high…

Q: 7. Use the convolution theorem to find the inverse Laplace transforms of: 1 (a) F'(s) = (²+9)2 1 (b)…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 7-52 Find the derivative of the function. 7. f(x) = (2x³ - 5x² + 4)5 8. f(x) = (x³ + 3x² − x)50

A: We have,

Q: Evaluate sin (‡) dxdy- -π/2 cy² 1

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A:

Q: log3 a³ b + 1 is equivalent to: O O 3log3(a)-log3(b + 1) O log3(a)-3log3(b + 1) O 3log3(a)-3log3(b)…

A: The expression is given by log3a3b+1 To write: The equivalent expression of the given expression.…